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The Switch 1 in the Circuit Shown Below Has Been t=0t = 0

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the switch 1 in the circuit shown below has been closed for a long time before it is opened at t=0t = 0 , and the switch 2 has been opened for a long time before it is closed at t=0t = 0 . Find the current i(t)i ( t ) through the inductor for t0t \geq 0 . Assume R1=100Ω,R2=200Ω,R3=400Ω,L=90R _ { 1 } = 100 \Omega , R _ { 2 } = 200 \Omega , R _ { 3 } = 400 \Omega , L = 90 mH,C=0.02μF,Is=3 mA, Vs=6 V\mathrm { mH } , \mathrm { C } = 0.02 \mu \mathrm { F } , \mathrm { I } _ { \mathrm { s } } = 3 \mathrm {~mA} , \mathrm {~V} _ { \mathrm { s } } = 6 \mathrm {~V} .
 the switch 1 in the circuit shown below has been closed for a long time before it is opened at  t = 0 , and the switch 2 has been opened for a long time before it is closed at  t = 0 . Find the current  i ( t )  through the inductor for  t \geq 0 . Assume  R _ { 1 } = 100 \Omega , R _ { 2 } = 200 \Omega , R _ { 3 } = 400 \Omega , L = 90   \mathrm { mH } , \mathrm { C } = 0.02 \mu \mathrm { F } , \mathrm { I } _ { \mathrm { s } } = 3 \mathrm {~mA} , \mathrm {~V} _ { \mathrm { s } } = 6 \mathrm {~V} .


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